Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m = 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m + m
m + m
= 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
Answer:
Each of the 5 children receive one fifteenth pie
Step-by-step explanation:
Given:
One third of a pie shared equally between 5 children.
To find:
Amount of the pie with each of the 5 children.
Solution:
Number of children = 5
Also, one third of a pie shared equally between 5 children.
So,
Amount of the pie with each of the 5 children
Hence, each of the 5 children receive one fifteenth pie.
Keep in mind that whenever you have a variable inside an expression, you have to think of it as a placeholder, hiding a certain value which we haven't specified yet.
Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.
So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.
So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.
If , the expression becomes
and it evaluates to
.
If , the expression becomes
and it evaluates to
.
If , the expression becomes
and it evaluates to
.
If , the expression becomes
and it evaluates to
.
If , the expression becomes
and it evaluates to
.